To determine the minimum size of the square footing, we need to ensure the pressure exerted on the soil does not exceed its Safe Bearing Capacity (SBC).
The area of the footing must be sufficient to distribute the column load evenly over the soil.
The formula relating load ($P$), Safe Bearing Capacity ($q_{safe}$), and the required Area ($A$) is:
$ A = \frac{P}{q_{safe}} $
Given:
Substituting the values:
$ A = \frac{225 \text{ kN}}{100 \text{ kN/m}^2} = 2.25 \text{ m}^2 $
For a square footing with side length $B$, the area is given by $A = B^2$. We need to find the minimum length $B$.
$ B^2 = A $
$ B^2 = 2.25 \text{ m}^2 $
Solving for $B$:
$ B = \sqrt{2.25 \text{ m}^2} $
$ B = 1.5 \text{ m} $
The calculated minimum length of the side of the square footing is 1.5 m. Rounding to one decimal place, the value remains 1.5 m.
The live load and dead load in a three storeyed residential building, transferred through a single column, is 12 tons and 18 tons respectively. If the soil bearing capacity is 10 ton/sqm and the factor of safety is 1.5, the area of column footing is ______sqm (up to one decimal place).